114723840 has 352 divisors, whose sum is σ = 462196224. Its totient is φ = 23592960.

The previous prime is 114723827. The next prime is 114723877. The reversal of 114723840 is 48327411.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114723798 and 114723807.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182672 + ... + 1182768.

Almost surely, 2^114723840 is an apocalyptic number.

114723840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231098112).

114723840 is an abundant number, since it is smaller than the sum of its proper divisors (347472384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114723840 is a wasteful number, since it uses less digits than its factorization.

114723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 114723840 is about 10710.9215289815. The cubic root of 114723840 is about 485.9048400454.

The spelling of 114723840 in words is "one hundred fourteen million, seven hundred twenty-three thousand, eight hundred forty".